Rate of convergence in multiple SLE using random matrix theory
Campbell AJ, Luh K, Margarint V. 2025. Rate of convergence in multiple SLE using random matrix theory. Random Matrices: Theory and Application., 2450028.
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Author
Campbell, Andrew JISTA;
Luh, Kyle;
Margarint, Vlad
Department
Abstract
In this paper, we provide a rate of convergence for a version of the Carathéodory convergence for the multiple SLE model with a Dyson Brownian motion driver towards its hydrodynamic limit, for β=1 and β=2. The results are obtained by combining techniques from the field of Schramm–Loewner Evolutions with modern techniques from random matrices. Our approach shows how one can apply modern tools used in the proof of universality in random matrix theory to the field of Schramm–Loewner Evolutions.
Publishing Year
Date Published
2025-01-01
Journal Title
Random Matrices: Theory and Application
Publisher
World Scientific Publishing
Article Number
2450028
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eISSN
IST-REx-ID
Cite this
Campbell AJ, Luh K, Margarint V. Rate of convergence in multiple SLE using random matrix theory. Random Matrices: Theory and Application. 2025. doi:10.1142/S201032632450028X
Campbell, A. J., Luh, K., & Margarint, V. (2025). Rate of convergence in multiple SLE using random matrix theory. Random Matrices: Theory and Application. World Scientific Publishing. https://doi.org/10.1142/S201032632450028X
Campbell, Andrew J, Kyle Luh, and Vlad Margarint. “Rate of Convergence in Multiple SLE Using Random Matrix Theory.” Random Matrices: Theory and Application. World Scientific Publishing, 2025. https://doi.org/10.1142/S201032632450028X.
A. J. Campbell, K. Luh, and V. Margarint, “Rate of convergence in multiple SLE using random matrix theory,” Random Matrices: Theory and Application. World Scientific Publishing, 2025.
Campbell AJ, Luh K, Margarint V. 2025. Rate of convergence in multiple SLE using random matrix theory. Random Matrices: Theory and Application., 2450028.
Campbell, Andrew J., et al. “Rate of Convergence in Multiple SLE Using Random Matrix Theory.” Random Matrices: Theory and Application, 2450028, World Scientific Publishing, 2025, doi:10.1142/S201032632450028X.
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